870297120 has 576 divisors, whose sum is σ = 3804143616. Its totient is φ = 175933440.

The previous prime is 870297097. The next prime is 870297137. The reversal of 870297120 is 21792078.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5211277 + ... + 5211443.

It is an arithmetic number, because the mean of its divisors is an integer number (6604416).

Almost surely, 2^870297120 is an apocalyptic number.

870297120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 870297120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902071808).

870297120 is an abundant number, since it is smaller than the sum of its proper divisors (2933846496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

870297120 is a wasteful number, since it uses less digits than its factorization.

870297120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 870297120 is about 29500.7986332574. The cubic root of 870297120 is about 954.7489339375.

It can be divided in two parts, 87029 and 7120, that added together give a palindrome (94149).

The spelling of 870297120 in words is "eight hundred seventy million, two hundred ninety-seven thousand, one hundred twenty".